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Crime, Punishment, and Evolution in an Adversarial Game

  • Michael McBride

    ()

    (Department of Economics, University of California-Irvine)

  • Ryan Kendall

    ()

    (Department of Economics, University of California-Irvine)

  • Martin B. Short

    ()

    (Department of Mathematics, University of California-Los Angeles)

  • Maria R. D'Orsogna

    ()

    (Department of Mathematics, California State University-Northridge)

We examine the game theoretic properties of a model of crime first introduced by Short, Brantingham, and D'Orsogna (Short et al. 2010) as the SBD Adversarial Game. We identify the rationalizable strategies and one-shot equilibria under mul- tiple equilibrium refinements. We further show that SBD's main result about the effectiveness of defecting-punishers in driving the system to evolve to the cooperative equilibrium under an imitation dynamic does generalize to a best response dynamic, although the nature of this strategy's role differs significantly between the two dynamics. The analysis reveals that the positive externality in punishing crime in the SBD game converts the adversarial setting from a social dilemma to a coordination game. We provide policy implications and lessons learned about the evolution of cooperation more generally.

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File URL: http://www.economics.uci.edu/files/docs/workingpapers/2012-13/mcbride-08.pdf
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Paper provided by University of California-Irvine, Department of Economics in its series Working Papers with number 121308.

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Length: 29 pages
Date of creation: Sep 2012
Date of revision:
Handle: RePEc:irv:wpaper:121308
Contact details of provider: Postal: Irvine, CA 92697-3125
Phone: (949) 824-5788
Web page: http://www.economics.uci.edu/

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  1. Cinyabuguma, Matthias & Page, Talbot & Putterman, Louis, 2005. "Cooperation under the threat of expulsion in a public goods experiment," Journal of Public Economics, Elsevier, vol. 89(8), pages 1421-1435, August.
  2. Takahashi, Satoru, 2010. "Community enforcement when players observe partners' past play," Journal of Economic Theory, Elsevier, vol. 145(1), pages 42-62, January.
  3. Fender, John, 1999. "A general equilibrium model of crime and punishment," Journal of Economic Behavior & Organization, Elsevier, vol. 39(4), pages 437-453, July.
  4. Ananish Chaudhuri, 2011. "Sustaining cooperation in laboratory public goods experiments: a selective survey of the literature," Experimental Economics, Springer, vol. 14(1), pages 47-83, March.
  5. Eaton, B.Curtis & Wen, Jean-Fran├žois, 2008. "Myopic deterrence policies and the instability of equilibria," Journal of Economic Behavior & Organization, Elsevier, vol. 65(3-4), pages 609-624, March.
  6. Ernst Fehr & Simon Gaechter, . "Cooperation and Punishment in Public Goods Experiments," IEW - Working Papers 010, Institute for Empirical Research in Economics - University of Zurich.
  7. Fudenberg, Drew & Pathak, Parag A., 2010. "Unobserved punishment supports cooperation," Journal of Public Economics, Elsevier, vol. 94(1-2), pages 78-86, February.
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